Question

he difference between a positive proper fraction and its reciprocal is 9/20. The fraction is:

Answer 1

Answer:

4/5

Step-by-step explanation:

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Let the required fraction be x. Then, (1 / x )- x = 9/20

1 - x^(2) / x = 9 / 20 => 20 - 20 * x^(2) = 9 * x.

20 * x^(2) + 9 *x - 20 = 0.

=> (4 * x + 5) (5 * x - 4) = 0.

=> x = 4 / 5.

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